Coordinate Geometry Question 2
Question: If a vertex of an equilateral triangle is on origin and second vertex is (4, 0), then its third vertex is
Options:
A) $ (2,\pm \sqrt{3}) $
B) $ (3,\pm \sqrt{2}) $
C) $ (2,\pm 2\sqrt{3}) $
D) $ (3,\pm 2\sqrt{2}) $
Show Answer
Answer:
Correct Answer: C
Solution:
By inspection i.e. length of the three sides must be equal. We find the required point $ (2,\pm 2\sqrt{3}) $ .